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4213431030132 = 22332312971307809
BaseRepresentation
bin111101010100000100000…
…011110101000101110100
3112220210121020211102002000
4331110010003311011310
51023013101320431012
612543342401415300
7613260514555302
oct75240403650564
915823536742060
104213431030132
1113849a6a77575
1258071163a530
1324742b8a39cc
14107d0710b272
1574903623ddc
hex3d5040f5174

4213431030132 has 96 divisors (see below), whose sum is σ = 11407451193600. Its totient is φ = 1342375981056.

The previous prime is 4213431030103. The next prime is 4213431030161. The reversal of 4213431030132 is 2310301343124.

It is a happy number.

4213431030132 is a `hidden beast` number, since 4 + 2 + 1 + 343 + 10 + 301 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4213431030103) and next prime (4213431030161).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4213431030096 and 4213431030105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2567844 + ... + 3875652.

It is an arithmetic number, because the mean of its divisors is an integer number (118827616600).

Almost surely, 24213431030132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213431030132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703725596800).

4213431030132 is an abundant number, since it is smaller than the sum of its proper divisors (7194020163468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4213431030132 is a wasteful number, since it uses less digits than its factorization.

4213431030132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309142 (or 1309134 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 4213431030132 its reverse (2310301343124), we get a palindrome (6523732373256).

The spelling of 4213431030132 in words is "four trillion, two hundred thirteen billion, four hundred thirty-one million, thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 1297 2484 2594 3891 5188 7782 11673 15564 23346 29831 35019 46692 59662 70038 89493 119324 140076 178986 268479 357972 536958 805437 1073916 1307809 1610874 2615618 3221748 3923427 5231236 7846854 11770281 15693708 23540562 30079607 35310843 47081124 60159214 70621686 90238821 120318428 141243372 180477642 270716463 360955284 541432926 812149389 1082865852 1624298778 1696228273 3248597556 3392456546 5088684819 6784913092 10177369638 15266054457 20354739276 30532108914 39013250279 45798163371 61064217828 78026500558 91596326742 117039750837 156053001116 183192653484 234079501674 351119252511 468159003348 702238505022 1053357757533 1404477010044 2106715515066 4213431030132